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Simplifying (3x + 18) + -1(9x + -27) = 99 Reorder the terms: (18 + 3x) + -1(9x + -27) = 99 Remove parenthesis around (18 + 3x) 18 + 3x + -1(9x + -27) = 99 Reorder the terms: 18 + 3x + -1(-27 + 9x) = 99 18 + 3x + (-27 * -1 + 9x * -1) = 99 18 + 3x + (27 + -9x) = 99 Reorder the terms: 18 + 27 + 3x + -9x = 99 Combine like terms: 18 + 27 = 45 45 + 3x + -9x = 99 Combine like terms: 3x + -9x = -6x 45 + -6x = 99 Solving 45 + -6x = 99 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -6x = 99 + -45 Combine like terms: 45 + -45 = 0 0 + -6x = 99 + -45 -6x = 99 + -45 Combine like terms: 99 + -45 = 54 -6x = 54 Divide each side by '-6'. x = -9 Simplifying x = -9
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